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Finding the Fourth Proportional to 138.32, 205.65 and 136.95

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Solution

The fourth proportional to 138.32, 205.65 and 136.95 is: 203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.32 : 205.65 = 136.95 : x
  2. Step 2: Convert to fraction form
    138.32/205.65 = 136.95/x
  3. Step 3: Cross multiply
    138.32x = 205.65 × 136.95
  4. Step 4: Simplify right side
    138.32x = 28,163.77
  5. Step 5: Solve for x
    x = 28,163.77/138.32
  6. Step 6: Final answer
    x = 203.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.